Lg(2x+6)-lg(2x-3)=1

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Solution for Lg(2x+6)-lg(2x-3)=1 equation:


Simplifying
Lg(2x + 6) + -1lg(2x + -3) = 1

Reorder the terms:
gL(6 + 2x) + -1lg(2x + -3) = 1
(6 * gL + 2x * gL) + -1lg(2x + -3) = 1
(6gL + 2gxL) + -1lg(2x + -3) = 1

Reorder the terms:
6gL + 2gxL + -1gl(-3 + 2x) = 1
6gL + 2gxL + (-3 * -1gl + 2x * -1gl) = 1
6gL + 2gxL + (3gl + -2glx) = 1

Reorder the terms:
6gL + 3gl + -2glx + 2gxL = 1

Solving
6gL + 3gl + -2glx + 2gxL = 1

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-1 + 6gL + 3gl + -2glx + 2gxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 6gL + 3gl + -2glx + 2gxL = 0

The solution to this equation could not be determined.

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